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Finding the Fourth Proportional to 6,123.59, 9,185.49 and 1,741.16

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Solution

The fourth proportional to 6,123.59, 9,185.49 and 1,741.16 is: 2,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.59 : 9,185.49 = 1,741.16 : x
  2. Step 2: Convert to fraction form
    6,123.59/9,185.49 = 1,741.16/x
  3. Step 3: Cross multiply
    6,123.59x = 9,185.49 × 1,741.16
  4. Step 4: Simplify right side
    6,123.59x = 15,993,430.73
  5. Step 5: Solve for x
    x = 15,993,430.73/6,123.59
  6. Step 6: Final answer
    x = 2,611.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.